22053164023104 has 448 divisors, whose sum is σ = 61129135226880. Its totient is φ = 7011164160000.

The previous prime is 22053164023103. The next prime is 22053164023141. The reversal of 22053164023104 is 40132046135022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22053164023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47631023577 + ... + 47631024039.

It is an arithmetic number, because the mean of its divisors is an integer number (136448962560).

Almost surely, 2^{22053164023104} is an apocalyptic number.

22053164023104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22053164023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30564567613440).

22053164023104 is an abundant number, since it is smaller than the sum of its proper divisors (39075971203776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22053164023104 is a wasteful number, since it uses less digits than its factorization.

22053164023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 22053164023104 in words is "twenty-two trillion, fifty-three billion, one hundred sixty-four million, twenty-three thousand, one hundred four".